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2. Suppose USAir accounts for 20% of all U.S domestic flights. As of mid-1194, USAir was
involved in four of the previous seven major disasters. “That’s enough to begin getting
suspicious but not enough to hang them,” said Dr. Brad Efton in The New York Times
(September 11, 1994, Sec 4, p. 4). Using a binomial distribution, comment on Dr. Efton’s
remark.
Solution
n = 7, p = 0.2
P(X <= 4) = 0.210 +.367+.275 + 0.115+0.025 = 0.96
Since the probability is 0.96 we can say that there is a 96% chance that USAir was involved in
the disaster but we cannot say this with probability 1.

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2. Suppose USAir accounts for 20 of all U.S domestic flights. As of.pdf

  • 1. 2. Suppose USAir accounts for 20% of all U.S domestic flights. As of mid-1194, USAir was involved in four of the previous seven major disasters. “That’s enough to begin getting suspicious but not enough to hang them,” said Dr. Brad Efton in The New York Times (September 11, 1994, Sec 4, p. 4). Using a binomial distribution, comment on Dr. Efton’s remark. Solution n = 7, p = 0.2 P(X <= 4) = 0.210 +.367+.275 + 0.115+0.025 = 0.96 Since the probability is 0.96 we can say that there is a 96% chance that USAir was involved in the disaster but we cannot say this with probability 1.